The centre of circle which passes through `A (h, 0), B (0, k) and C (0, 0)` is : (A) `(h/2, 0)` (B) `(0, k/2)` (C) `(h/2, k/2)` (D) (h, k)`

The centre of the circle passing through the points ( h,0), (k.0), (0,h), (0,k) is

The orthocenter of triangle whose vertices are A(a,0,0),B(0,b,0) and C(0,0,c) is (k/a,k/b,k/c) then k is equal to

The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

Four distinct points (k, 2k), (2, 0), (0, 2) and (0,0) lie on a circle for : (A) k = 0 (B) k = 6/5 (C) k = 1 (D) k = -1

If three points (h, 0), (a, b) and (o, k) lie on a line, show that a/h+b/k=1 .

Find the values of k for which the points (2k ,3k),(1,0),(0,1),a n d(0,0) lie on a circle.

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then (a) h=3sqrt(5) (b) h=2sqrt(5) (c) h=sqrt(5) (d) h=2sqrt(10)

If the circumcentre of the triangle whose vertices are (0,2),(3,5)and (5,8) is (h,k) then 4(h^(2)+k^(2)) equals "_____".

Consider a family of circles which are passing through the point (-1,1) and are tangent to the x-axis. If (h ,k) are the coordinates of the center of the circles, then the set of values of k is given by the interval. (a) kgeq1/2 (b) -1/2lt=klt=1/2 klt=1/2 (d) 0 < k < 1/2

If three points A(h ,0),\ P(a , b)a n d\ B(0, k) lie on a line, show that: a/h+b/k=1.